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Numerical methods and programming, 2003, Volume 4, Issue 1, Pages 183–187 (Mi vmp713)  
Application of the Fourier–Gauss transform to the Cauchy problem for the Schroedinger equation: theoretical consideration of the numerical algorithm

G. R. Aidagulov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (156 kB)
Abstract: The theoretical justification of the earlier proposed numerical procedure for solving the Scroedinger equation by the Fourier–Gauss transform is given. Some sufficient conditions for the equation (potential) and initial states to make the method applicable are investigated.
Keywords: nonstationary Scroedinger equation, Gaussian wave packets, Fourier–Gauss transform.
UDC: 519.63
Language: Russian
Citation: G. R. Aidagulov, “Application of the Fourier–Gauss transform to the Cauchy problem for the Schroedinger equation: theoretical consideration of the numerical algorithm”, Num. Meth. Prog., 4:1 (2003), 183–187
Citation in format AMSBIB
\Bibitem{Aid03}
\by G.~R.~Aidagulov
\paper Application of the Fourier--Gauss transform to the Cauchy problem for the
Schroedinger equation: theoretical consideration of the numerical algorithm
\jour Num. Meth. Prog.
\yr 2003
\vol 4
\issue 1
\pages 183--187
\mathnet{http://mi.mathnet.ru/vmp713}
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